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Drupady [299]
3 years ago
14

What mirror diameter gives 0.1 arc second resolution for infrared radiation of wavelength 2 micrometers?

Physics
1 answer:
Irina18 [472]3 years ago
7 0

Answer:

The diameter of mirror 5\times10^{-6}\ m

Explanation:

Given that,

Wavelength = 2 μm

Resolution = 0.1

We need to calculate the diameter of mirror

Using formula of resolution

resolution=0.25\times\dfrac{wavelength}{diameter}

diameter =0.25\times\dfrac{wavelength}{resolution}

Put the value into the formula

diameter=0.25\times\dfrac{2\times10^{-6}}{0.1}

diameter = 0.000005\ m

diameter = 5\times10^{-6}\ m

Hence, The diameter of mirror 5\times10^{-6}\ m

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The distance between the objective and eyepiece lenses in a microscope is 19 cm . The objective lens has a focal length of 5.5 m
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Answer:

The focal length of eyepiece is 3.68 cm.

Explanation:

Given that,

Distance = 19 cm

Focal length = 5.5 mm

Magnification = 200

Object distance = -25 cm

We need to calculate the focal length

Using formula of magnification

m=\dfrac{d}{f_{o}}+\dfrac{-25}{f_{0}f_{e}}

Put the value into the formula

f_{e}=\dfrac{19\times(-25)}{.55(-200-\dfrac{19}{.55})}

f_{e}=3.68\ cm

Hence, The focal length of eyepiece is 3.68 cm.

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